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SRS Standard pair #516974249
details
property
value
status
complete
benchmark
size-12-alpha-3-num-152.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
6.07335186005 seconds
cpu usage
22.152478425
max memory
3.647520768E9
stage attributes
key
value
output-size
63606
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo the bijection { a ↦ 0, b ↦ 1, c ↦ 2 }, it remains to prove termination of the 4-rule system { 0 ⟶ , 0 1 ⟶ 1 0 0 2 , 1 ⟶ , 2 2 0 ⟶ 1 } The system was reversed. After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2 }, it remains to prove termination of the 4-rule system { 0 ⟶ , 1 0 ⟶ 2 0 0 1 , 1 ⟶ , 0 2 2 ⟶ 1 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (1,↑) ↦ 0, (0,↓) ↦ 1, (0,↑) ↦ 2, (1,↓) ↦ 3, (2,↓) ↦ 4 }, it remains to prove termination of the 8-rule system { 0 1 ⟶ 2 1 3 , 0 1 ⟶ 2 3 , 0 1 ⟶ 0 , 2 4 4 ⟶ 0 , 1 →= , 3 1 →= 4 1 1 3 , 3 →= , 1 4 4 →= 3 } Applying sparse tiling TROC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (5,0) ↦ 0, (0,1) ↦ 1, (1,1) ↦ 2, (5,2) ↦ 3, (2,1) ↦ 4, (1,3) ↦ 5, (3,1) ↦ 6, (3,3) ↦ 7, (1,4) ↦ 8, (3,4) ↦ 9, (1,6) ↦ 10, (3,6) ↦ 11, (2,3) ↦ 12, (0,3) ↦ 13, (0,4) ↦ 14, (0,6) ↦ 15, (2,4) ↦ 16, (4,4) ↦ 17, (4,1) ↦ 18, (4,3) ↦ 19, (4,6) ↦ 20, (2,6) ↦ 21, (5,1) ↦ 22, (5,3) ↦ 23, (5,4) ↦ 24, (5,6) ↦ 25 }, it remains to prove termination of the 112-rule system { 0 1 2 ⟶ 3 4 5 6 , 0 1 5 ⟶ 3 4 5 7 , 0 1 8 ⟶ 3 4 5 9 , 0 1 10 ⟶ 3 4 5 11 , 0 1 2 ⟶ 3 12 6 , 0 1 5 ⟶ 3 12 7 , 0 1 8 ⟶ 3 12 9 , 0 1 10 ⟶ 3 12 11 , 0 1 2 ⟶ 0 1 , 0 1 5 ⟶ 0 13 , 0 1 8 ⟶ 0 14 , 0 1 10 ⟶ 0 15 , 3 16 17 18 ⟶ 0 1 , 3 16 17 19 ⟶ 0 13 , 3 16 17 17 ⟶ 0 14 , 3 16 17 20 ⟶ 0 15 , 1 2 →= 1 , 1 5 →= 13 , 1 8 →= 14 , 1 10 →= 15 , 2 2 →= 2 , 2 5 →= 5 , 2 8 →= 8 , 2 10 →= 10 , 4 2 →= 4 , 4 5 →= 12 , 4 8 →= 16 , 4 10 →= 21 , 6 2 →= 6 , 6 5 →= 7 , 6 8 →= 9 , 6 10 →= 11 , 18 2 →= 18 , 18 5 →= 19 , 18 8 →= 17 , 18 10 →= 20 , 22 2 →= 22 , 22 5 →= 23 , 22 8 →= 24 , 22 10 →= 25 , 13 6 2 →= 14 18 2 5 6 , 13 6 5 →= 14 18 2 5 7 , 13 6 8 →= 14 18 2 5 9 , 13 6 10 →= 14 18 2 5 11 , 5 6 2 →= 8 18 2 5 6 , 5 6 5 →= 8 18 2 5 7 , 5 6 8 →= 8 18 2 5 9 , 5 6 10 →= 8 18 2 5 11 , 12 6 2 →= 16 18 2 5 6 , 12 6 5 →= 16 18 2 5 7 , 12 6 8 →= 16 18 2 5 9 , 12 6 10 →= 16 18 2 5 11 , 7 6 2 →= 9 18 2 5 6 , 7 6 5 →= 9 18 2 5 7 , 7 6 8 →= 9 18 2 5 9 , 7 6 10 →= 9 18 2 5 11 , 19 6 2 →= 17 18 2 5 6 , 19 6 5 →= 17 18 2 5 7 , 19 6 8 →= 17 18 2 5 9 ,
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